The area of the rectangular field is exactly 8 hectares and the length of the field is 2 km. Find the perimeter of the field.
The area of the rectangular field is exactly 8 hectares and the length of the field is 2 km. Find the perimeter of the field. How many kilograms of seeds will it take to sow this field for 1 m2 it takes 20 g of seeds?
1. We translate the field area into square kilometers:
8 hectares = (8 x 0.01) km² = 0.08 km²;
2. Determine the width of the field:
0.08: 2 = 0.04 km;
3. Determine the perimeter of the field:
(2 + 0.04) x 2 = 2.04 x 2 = 4.08 km;
4. We translate the area of the field in square meters:
8 hectares = (8 x 10,000) m² = 80,000 m²;
5. Determine how many kilograms of seeds will be needed in order to completely sow this field:
80,000 m2 x 20 g = 80,000 m2 x (20: 1000) kg = 80,000 x 0.02 = 1600 kg.
Answer: the field perimeter is 4.08 kilometers; 1600 kilograms of seeds are needed to sow this field.